{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ourownstory/neural_prophet/blob/master/tutorials/feature-use/sparse_autoregression_yosemite_temps.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparse Autoregression\n",
    "Here we fit NeuralProphet to data with 5-minute resolution (daily temperatures at Yosemite). \n",
    "This is a continuation of the example notebook `autoregression_yosemite_temps`, focusing on sparsity.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "if 'google.colab' in str(get_ipython()):\n",
    "    !pip install git+https://github.com/ourownstory/neural_prophet.git # may take a while\n",
    "    #!pip install neuralprophet # much faster, but may not have the latest upgrades/bugfixes\n",
    "\n",
    "import pandas as pd\n",
    "from neuralprophet import NeuralProphet, set_log_level\n",
    "set_log_level(\"ERROR\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_location = \"https://raw.githubusercontent.com/ourownstory/neuralprophet-data/main/datasets/\"\n",
    "df = pd.read_csv(data_location + \"yosemite_temps.csv\")\n",
    "# df.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sparsifying the AR coefficients\n",
    "The autoregression component of NeuralProphet is defined as a AR-Net ([paper](https://arxiv.org/abs/1911.12436), [github](https://github.com/ourownstory/AR-Net)).\n",
    "Thus, we can set `ar_sparsity` to a number smaller one, if we like to induce sparsity in the AR coefficients. \n",
    "\n",
    "However, fitting a model with multiple components and regularizations can be harder to fit and in some cases you may need to take manual control over the training hyperparameters.\n",
    "\n",
    "\n",
    "We will start by setting a sparsity to 50%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                  \r"
     ]
    }
   ],
   "source": [
    "m = NeuralProphet(\n",
    "    n_lags=6*12,\n",
    "    n_forecasts=3*12,\n",
    "    n_changepoints=0,\n",
    "    weekly_seasonality=False,\n",
    "    daily_seasonality=False,\n",
    "    learning_rate=0.01,\n",
    "    ar_sparsity=0.9,\n",
    ")\n",
    "metrics = m.fit(df, freq='5min') # validate_each_epoch=True, plot_live_loss=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fsHcHN8ZFmbl3nBlrdADRAZ3UN9xErWG+peW0pvl2yL/rrF27lieffJLPPvsML6+zP72ntLQUm81Gly5dKC0tZf369SxYsKCFKxUREWdWazPYkXWiLgzvy2dbRiGVNTbcXU1cEe7Ho+N7kxQdwNCwrripb1ikXXBIOL799tuprKwkKSkJqLso76WXXiI7O5vZs2fz8ccfc+zYMaZMmQJATU0NN910E1dddZUjyhURESdhGAb780vt9xvetL+A4vK6vuGBId7cPiIca3QAo3r50clTfcMi7ZFDPtn79+8/6/KQkBA+/vhjACIiIti9e3dLliUiIk7oeEklqen59laJI0XlAPTw7cjUmGCs0WbGRZkJ7OLp4EpFpCXo114REXEqpZU1/OtgQf3Z4Xz25JwEwLejO+MsZv44LgprdACR/l7qGxZxQgrHIiLSrtXU2tiedYKN++rODH+eUUh1rYGHqwsje/mxeEIfrNEBDA7tiquLwrCIs1M4FhGRdsUwDH48fsreN7z5QAEnK2owmWBwaFfuHh2B1RLAiF6+eHnox6CInE5/K4iISJuXc7Kirm+4/uzw0RMVAET4e3HDoBCs0QEkRPpj7qy+YRE5P4VjERFpc0oqavjsYIE9DH+XW/dYDX8vdxItAVijzSRazET4d3JwpSLS1igci4hIq1dda7DVfhFdHl8dKabGZtDBzYXREf7MjAvDaglgYIg3LuobFpEmUDgWEZFWxzAMvj92yn5meHN6HqXVNkwmiAvz4Z6ESJKiA7i8py8d3F0dXa6ItCMKxyIi0ipkFZf/537D+/LJLakEwGLuxNR+/kwe1JOEKH98vTwcXKmItGcKxyIi4hAnyqv59MB/+ob3Hj8FQEBnD6yWAKyWur7hnn5eZGdnExIS7OCKRcQZKByLiEiLqKqx8eXhIjbUh+GvM4uptRl4ebgyJsKfOcN7YLUEMCCoi/qGRcRhzhmOV65ced4Nr7vuuktejIiItB82m8G/c0vsbRKfHSygrKoWFxMM6+Fb/yQ6M5f39MPDzcXR5YqIAOcJxx9++CEAx48f5/PPP2fcuHEAbN68mSuuuELhWEREznCkqIyN+/LZmJ5Panoex09VAdAnsDOz4rtjjQ5gbKQ/XTu6O7hSEZGzO2c4fvXVVwG48sor+f777wkOruv1ysnJ4ZZbbmmR4kREpHUrKqti8/4C+9nh9PxSAIK6eHJl7wCslgASLWbCfDo6uFIRkYa5YM9xZmamPRgDdOvWjSNHjjRrUSIi0jpVVNfyeUaRPQx/k1WMzYDOnq6MjTTzuxHhWKMD6NetMyaT+oZFpO25YDhOTExk/Pjx3HjjjQC88847WK3WZi9MREQcz2Yz2J19ko3peWzYl8eWg4VU1NhwczExvKcvC5KisUYHMKyHD+6u6hsWkbbvguH4hRdeYOXKlWzZsgWA5ORkpkyZ0uyFiYiIYxwqKLOfGU5Nz6OgrBqA/kFdmHt5T6zRAYyJ8KdLB93wSETanwb9zXbdddfpAjwRkXaqoLSKTfvz7fcbPlhQBkBo1w5M7NcNa3Rd33CwdwcHVyoi0vwuGI5XrlzJfffdx/HjxzEMA8MwMJlMnDx5siXqExGRS6y8upatBwvrzg6n57Pz6AkMA7w7uJEQ6c/doyOwWsz0DlTfsIg4nwuG43vvvZcPP/yQvn37XtIDP/jgg6xevRoXFxcCAwN57bXXCAkJOWO9pUuXsnDhQgAeeOABZs6ceUnrEBFp72ptBjuyTthbJbZlFFJZY8Pd1cQV4X48Or431ugA4sK64qa+YRFxchcMx926dbvkwRjgnnvu4bHHHgPgr3/9K48++igvvfTSaesUFhbyyCOPsH37dkwmE0OHDmXSpEn4+vpe8npERNoLwzA4UFDGxn11F9Ft2l9AcXld3/DAEG9ur7+jxKhefnTyVN+wiMjPXfBvxbi4OKZPn861116Lp6enfXlTe5C9vb3tX5eWlp71n+7WrVtHUlISfn5+ACQlJbF27Vr7nTNERKTO8ZLK+r7hfDam53G4qByA7j4duC4mCKslgHEWM926eF5gTyIizu2C4fjkyZN4eXmxfv16+zKTyXRJLtC7//77ef311+natSubN28+4/2jR4/SvXt3++uwsDCOHj3a5OOKiLR1pZU1bDlUaL+Ibnd23XUgPh3dGRflz33jorBazESZO6lvWESkES4Yjn96Ut7FsFqt5ObmnrF80aJFTJ48mUWLFrFo0SIWL17MCy+8wCOPPHLRx0pJSSElJQWA3NxcsrOzycvLu+j9Sduj+XYuzjbfNTaD3bmlbDlSwtbDJ9meXUq1zcDD1UR8aGfmjwxhVE9vYgK9cHWpD8PVJ8nJaR8XTzvbfDs7zbdzaW3zfcFwvG/fPm677TaOHTvGv//9b/bs2cMHH3zAAw88cMGdb9y4sUFFzJgxgwkTJpwRjkNDQ/n000/tr7Oyshg7duxZ95GcnExycjJQ1wry08V9Z7vIT9ovzbdzac/zbRgG+/JK7WeGN+/P50RFDQCDQ725e0wEVksAI3r54uXhHH3D7Xm+5Uyab+fSmub7gn+jzpkzh6eeeoq5c+cCEBsby0033dSgcHw+6enpWCwWAFavXk2fPn3OWGf8+PH86U9/oqioCID169ezePHiJh1XRKS1yj1ZQWp6PhvT6+45nHWiAoBwv478clBIXd9wlD/mzuobFhFpLhcMx2VlZQwbNuz0jdyafpZi/vz5/Pjjj7i4uNCzZ0/7nSq2b9/OSy+9xMsvv4yfnx8PPvgg8fHxACxYsMB+cZ6ISFtXUlHDvw4W2G+x9u/cEgD8vNxJtJixWgKwRpuJ8O/k4EpFRJzHBVOu2WzmwIED9gs6VqxYQXBwcJMP/P777591eVxcHC+//LL99axZs5g1a1aTjyci4mjVtTbSjhTbWyW+PFxEjc2gg5sLoyL8uHloGNZoM4NCuuLioovoREQc4YLh+MUXXyQ5OZm9e/cSGhpKr169eOutt1qiNhGRNs0wDL4/dsoehj89kM+pylpMJogL8+GehEislgCuCPelg7uro8sVEREuEI5ra2v5v//7PzZu3EhpaSk2m40uXbq0VG0iIm3O0RPldX3D9fcbzjlZCUCUuRO/GhJGUnQAY6P88fPycHClIiJyNucMxzU1Nbi5ubF161YAOnVSz5uIyH87UV7NZwcK6i6iS8/jh2OnAAjo7EFilBlrdACJFjPhfl4OrlRERBrinOF42LBh7Nixg8GDBzNp0iSmTZt2WkC+FA8BERFpa6pqbHx5uMh+EV1aZjG1NgMvD1dGR/hx67AeWKPNxAR5q29YRKQNumDPcUVFBf7+/mzatAmTyYRhGJfsCXkiIq2dYRh8m1NiD8OfHSygrKoWFxMM6+HLH8dFYY02M7ynL55u6hsWEWnrzhmOjx8/zp///GcGDBhgD8U/0aNIRaQ9O1JUVt8znE9qeh7HT1UB0CewM7Piu2ONDmBMpD8+Hd0dXKmIiFxq5wzHtbW1nDp16rRQ/BOFYxFpT4rKqvj0QIH9Irp9eaUAdOviSVJ0AFZLXd9wd9+ODq5URESa2znDcXBwMAsWLGjJWkREWkRlTS2fZxTZb7G2PbMYmwGdPFwZG+nPbVeEY7WY6R/URScDRESczDnD8dnOGIuItEU2m8Hu7JP2vuEthwoor7bh6mJieA8fHkyKxmoxM6yHLx5uLo4uV0REHOic4Tg1NbUl6xARuaQyCsvYuC+PDfvy2bQ/n/zSur7h/kFdSB7eE2t0AKMj/PDuoL5hERH5j3OGYz8/v5asQ0SkSQpKq9i8v+4iuo378jhQUAZAiHcHJvQNxGoxk2gJIKRrBwdXKiIirdkFb+UmItIalVfb6nqG6y+i23H0BIYBXTzdSIjy585REVijzfQJ7Ky+YRERaTCFYxFpE2ptBjuPnrBfRLf1YAGVtQburiYu7+nLI+N7Y7WYie/ug5ur+oZFROTiKByLSKtkGAYHCsrsYXhTej5F5dUAxAZ7M3NQANcODmdUhD+dPfVXmYiIXBr6iSIirUbeqUo2peezob5V4nBROQDdfTowJSYIqyWAcRYz3bp4kp2dTUhINwdXLCIi7Y3CsYg4TFlVDVsOFtovotuVfRKArh3cGGcxc29C3aOZLeZO6hsWEZEWoXAsIi2mptbGN1kn7Pcb/jyjiKpaGx6uLozo5cuiq/tgjTYzNMwHVxeFYRERaXkKxyLSbAzDYF9eqb1vePP+fE5U1AAwONSbO0f1whptZmQvP7w89NeRiIg4nkN+Gj344IOsXr0aFxcXAgMDee211wgJCTljPVdXV2JiYgDo0aMHH3zwQUuXKiKNlHuygtT0/9xvOOtEBQDhfh355aAQrJYAEqL8Cejs6eBKRUREzuSQcHzPPffw2GOPAfDXv/6VRx99lJdeeumM9Tp27MiuXbtauDoRaYxTlTX862ABG/fls2FfHv/OLQHAz8udcVFmrNFmrJYAIvy91DcsIiKtnkPCsbe3t/3r0tJS/cAUaUOqa218faS47sxweh5fZBRRYzPwdHNhVC8/fjU0DKvFzKDQruobFhGRNsdhTX73338/r7/+Ol27dmXz5s1nXaeiooK4uDjc3NyYP38+11577Tn3l5KSQkpKCgC5ublkZ2eTl5fXHKVLK6X5bh6GYZBeWMGWwyVsOXySL7JKOFVlwwTEdvPif+K6MbJHF+JCOtPR/aeHb5RxLLesWevSfDsXzbdz0Xw7l9Y23ybDMIzm2LHVaiU3N/eM5YsWLWLy5Mn214sXL6aiooJHHnnkjHWPHj1KaGgoBw8eZNy4caSmphIZGXnBY8fFxbF9+/b6+6Ce2css7ZPm+9I5eqK8rm+4/n7DOScrAYgyd8JqqWuVSIgy4+fl4bAaNd/ORfPtXDTfzqUx8/1TxmtOzXbmeOPGjQ1ab8aMGUyYMOGs4Tg0NBSAiIgIxo4dy86dOxsUjkWkcU5WVPPZgQL7RXTfHzsFgLmTB4kWM0nRASRazIT7eTm4UhERkeblkLaK9PR0LBYLAKtXr6ZPnz5nrFNUVISXlxeenp7k5+ezbds27r333pYuVaRdqqqx8dWRIvuZ4a+OFFNrM+jo7sLoCH9+E98Da7SZ2GBvXNQ3LCIiTsQh4Xj+/Pn8+OOPuLi40LNnT/udKrZv385LL73Eyy+/zA8//MDcuXNxcXHBZrMxf/58+vXr54hyRdo8wzD4d26J/X7Dnx0ooLSqFhcTxHf3Yf64KKwWM5eH++Lp5urockVERBzGIeH4/fffP+vyuLg4Xn75ZQCuuOIKvv3225YsS6RdySwqtz+JLnV/PsdK6vqGewd04pb47lgtZsZGmfHp6O7gSkVERFoPPZJKpJ0oLq9m8/7/XES3L68UgG5dPOsuorPU9Q139+3o4EpFRERaL4VjkTaqsqaWLzKK7BfRfZ1ZjM2ATh6ujIn0538u70lSdAD9g7roXuIiIiINpHAs0kbYbAZ7ck7azwz/62AB5dU2XF1MXNbDhwes0VijzVzWwxcPN5cL71BERETOoHAs0oplFJbZL6JLTc8nv7QKgH7dOjNneE+sFjNjIv3x7qC+YRERkUtB4VikFSkorarrG65vlThQUPeUuWBvTyb0DcRqMZNoCSCkawcHVyoiItI+KRyLOFBFdS1bDxXaWyV2HD2BYUAXTzfGRvozb1QvrJYA+nbrrL5hERGRFqBwLNKCam0Gu46esJ8Z3nqokIoaG24uJi4P9+XhK3tjtZiJ7+GDu6v6hkVERFqawrFIMzIMg4MFZfb7DW/an09hWTUAMcFduO2KcKzRZkZH+NPZUx9HERERR9NPY5FLLO9UJZvS6/uG0/PIKCwHIKxrByb3D8IabWZclJkgb/UNi4iItDYKxyJNVFZVY+8b3rAvj13ZJwHo2sGNcRYz94yNwhptxmLupL5hERGRVk7hWKSRam0G32QV2y+i23aoiKpaGx6uLlwR7svCq3tjtQQwNKwrbuobFhERaVMUjkUuwDAM0vNL7WF48/4Cisvr+oYHhXjX31HCzMhefnRS37CIiEibpp/kImdxrKSS1PqL6Dam55FZXAFAT9+OXB8bjNViZpzFTEBnTwdXKiIiIpeSwrEIcKqyhn8dLLCH4W9zSgDw7ehOosXM/VYzVksAEf5e6hsWERFpxxSOxSnV1Nr4OrOYjel1F9F9kVFEjc3A082FUb38mHFNGFaLmUGhXXF1URgWERFxFgrH4hQMw2Dv8VOn9Q2XVNZgMsGQ0K78YUwk1mgzI3r50dHd1dHlioiIiIMoHEu7lX2ioq5vOD2fjfvyyT5Z1zcc6e/FTUNCsVrMJESZ8e/k4eBKRUREpLVweDh+5pln+N///V/y8vIwm81nvL906VIWLlwIwAMPPMDMmTNbukRpI0oqa/nwu1z7o5m/P3YKAHMnDxItZqwWM4mWAHr5ezm4UhEREWmtHBqOMzMzWb9+PT169Djr+4WFhTzyyCNs374dk8nE0KFDmTRpEr6+vi1cqbRGVTU2vjpSZG+V+OpwEbUGdHR3YVQvf34T3wNrtJnYYG9c1DcsIiIiDeDQcHz33Xfz5JNPMnny5LO+v27dOpKSkvDz8wMgKSmJtWvXcuONN7ZkmdJKGIbBd7kl9jPDnx4ooLSqFhcTxHX34bfDgpgypBeX9/Slg/qGRURE5CI4LByvXr2a0NBQBg4ceM51jh49Svfu3e2vw8LCOHr0aEuUJ61EVnG5/czwxvR8jpVUAhAd0ImZcd2xRpsZG+mPr5cH2dnZhISc2ZojIiIi0lDNGo6tViu5ublnLF+0aBGPP/4469evv2THSklJISUlBYDc3Fyys7PJy8u7ZPuXlnGiooYvMk+x5chJthw+yYGiujBs9nJjVA9vRvUMYmQPb0K9f7qIzqC8OJ/yYjTfTkbz7Vw0385F8+1cWtt8N2s43rhx41mXf/vttxw6dMh+1jgrK4shQ4aQlpZGUFCQfb3Q0FA+/fRT++usrCzGjh171n0mJyeTnJwMQFxcHCEhIQD2/0vrVFlTyxcZRfZWia8zi7EZ0MnDlTGR/vxulBlrdAADgro06OEbmm/novl2Lppv56L5di6tab4d0lYRExPD8ePH7a/Dw8PZvn37GXerGD9+PH/6058oKioCYP369SxevLhFa5VLy2Yz+Db3pL1V4l8HCymrqsXVxcSw7j7cb7WQFB3AZT188XBzcXS5IiIi4mQcfiu3/7Z9+3ZeeuklXn75Zfz8/HjwwQeJj48HYMGCBfaL86TtOFxYZj8znLo/n7xTVQD07daZW4f1wGoxMybSn64d3R1cqYiIiDi7VhGOMzIy7F/HxcXx8ssv21/PmjWLWbNmOaAquViFZVVs3p9ff3Y4n/35pQAEe3tyVe9ArNFmEi1mQrt2dHClIiIiIqdrFeFY2raK6lq2HSqsOzucnsc3WScwDOji6cbYSH/uGBmO1RJA326dG9Q3LCIiIuIoCsfSaDabwc6jJ+ytElsPFVJRY8PNxcTwnr48fGVvrBYz8T18cHdV37CIiIi0HQrH0iAHC0rtF9GlpudTWFYNwICgLvzPFT2xWgIYHeFPlw76IyUiIiJtl5KMnFX+qUo27S+oe/jGvnwOFZYBENq1A5P6B2G1mBlnMRPs3cHBlYqIiIhcOgrHAkBZVQ1bDxXazw7vPHoSAO8OboyLMvOHMRFYowOIDuikvmERERFptxSOnVStzeCbrGJ7GN52qIiqWhvuriZGhPux8OreWC0BDA3ripv6hkVERMRJKBw7CcMw2J9fysb0fDbsy2Pz/gKKy+v6hgeGeNfdUSI6gFG9/OjkqT8WIiIi4pyUgtqxYyWVbKq/vdrG9HyOFJUD0MO3I1NjgrFGmxkXZSawi6eDKxURERFpHRSO25HSyhr+dbCg/hZr+ezJqesb9u3ozjiLmT+Oi8IaHUCkv5f6hkVERETOQuG4DauptfF1ZrH9fsNfHC6iutbA082Fkb38WDyhD9boAAaHdsXVRWFYRERE5EIUjtsQwzD48fgpe9/wpwcKOFlRg8kEQ0K78vvRkVijzYzo5UdHd1dHlysiIiLS5igct3I5JytIrT8zvDE9n6MnKgCI8PfihkEhWKMDSIj0x9xZfcMiIiIiTaVw3MqUVNTw2cECexj+LrcEAH8vdxItAVijzSRazET4d3JwpSIiIiLtj8Kxg1XX2vjqcJG9b/irI8XU2Aw6uLkwOsKfmXFhWC0BDAzxxkV9wyIiIiLNSuG4hRmGwXe5JfYw/NnBAk5V1mIyQVyYD/ckRJIUHcDlPX3poL5hERERkRalcNwCsorL6/qG0/PYuC+f3JJKACzmTtw8tO7McEKUP75eHg6uVERERMS5KRw3gxPl1Xx64D99w3uPnwIgoLMHVksAVktd33BPPy8HVyoiIiIiP6dwfAlU1tTy5eEiNu7LZ2N6PmlHirAZ4OXhypgIf+YM74HVEsCAoC7qGxYRERFpxRwajp955hn+93//l7y8PMxm8xnvu7q6EhMTA0CPHj344IMPWrrEC1q24yiz39tNWVUtri4mhnX34X6rBaslgOE9ffFwc3F0iSIiIiLSQA4Lx5mZmaxfv54ePXqcc52OHTuya9eulivqIvQP6sKs+O5YowMYG+lP147uji5JRERERC6Sw05r3n333Tz55JOYTG27zSA2xJvnr4th8oAgBWMRERGRNs4h4Xj16tWEhoYycODA865XUVFBXFwcw4cPZ9WqVS1TnIiIiIg4rWZrq7BareTm5p6xfNGiRTz++OOsX7/+gvs4fPgwoaGhHDx4kHHjxhETE0NkZORZ101JSSElJQWA3NxcsrOzycvLa9o3IW2K5tu5aL6di+bbuWi+nUtrm+9mC8cbN2486/Jvv/2WQ4cO2c8aZ2VlMWTIENLS0ggKCjpt3dDQUAAiIiIYO3YsO3fuPGc4Tk5OJjk5GYC4uDhCQkIA7P8X56D5di6ab+ei+XYumm/n0prmu8XbKmJiYjh+/DgZGRlkZGQQFhbGjh07zgjGRUVFVFbWPSwjPz+fbdu20a9fv5YuV0REREScSKu6z9j27duZPXs2AD/88ANxcXEMHDiQhIQE5s+fr3AsIiIiIs3KZBiG4egiLjWz2Ux4eDh5eXkEBAQ4uhxpIZpv56L5di6ab+ei+XYujZnvjIwM8vPzm7WedhmOfxIXF8f27dsdXYa0EM23c9F8OxfNt3PRfDuX1jbfraqtQkRERETEkRSORURERETqtetw/NOt3cQ5aL6di+bbuWi+nYvm27m0tvlu1z3HIiIiIiKN0a7PHIuIiIiINIbCsYiIiIhIvRYNx5mZmSQkJNCvXz/69+/Pc889B0BhYSFJSUlYLBaSkpIoKioCYO/evVx++eV4enry9NNP2/fz448/MmjQIPt/3t7ePPvss2c95tq1a+nduzdRUVEsWbLkjPfnzZtH586dz7ptWVkZ11xzDX369KF///7Mnz/f/t6RI0dISEhg8ODBxMbG8vHHH1/ssLRbrWm+b7nlFnr16mXfx65du866/QsvvEBUVBQmk+m0+yi+9dZbxMbGEhMTwxVXXMHu3bubODrtT1uc7xkzZtC7d28GDBjArFmzqK6utr/36aefMmjQIPr378+YMWOaODrtT2uab8MwuP/++4mOjqZv37789a9/Pev2hw4d4rLLLiMqKorp06dTVVUFwOHDh0lMTCQ2NpaxY8eSlZV1KYaoXWmL832uz/fq1auJjY1l0KBBxMXFsXXr1ksxRO1Ka5rvUaNG2bcPCQnh2muvPev25/p833333fbto6Oj8fHxufAAGC0oOzvb+OabbwzDMIyTJ08aFovF+O6774x77rnHWLx4sWEYhrF48WLj3nvvNQzDMI4dO2akpaUZf/rTn4ynnnrqrPusqakxunXrZmRkZJz1vYiICOPAgQNGZWWlERsba3z33Xf297/++mvjV7/6ldGpU6ez7ru0tNTYtGmTYRiGUVlZaYwcOdL4+OOPDcMwjDlz5hj/93//ZxiGYXz33XdGz549L2JE2rfWNN8zZ8403nvvvQvWvGPHDuPQoUNGz549jby8PPvybdu2GYWFhYZhGMbHH39sDBs2rBEj4Rza4nyvWbPGsNlshs1mM2644Qb7Z7qoqMjo27evcfjwYXutcrrWNN//+Mc/jJtvvtmora21H+tspk2bZixbtswwDMOYO3eufb6vv/5647XXXjMMwzBSU1ONX/3qVxc1Ju1ZW5zvc32+S0pKDJvNZhiGYezevdvo3bv3xQ5Lu9Wa5vvnrrvuOmPp0qVn3f+5Pt8/99e//tX4zW9+c8Hvv0XPHAcHBzNkyBAAunTpQt++fTl69CirV69m5syZAMycOZNVq1YBEBgYSHx8PO7u7ufcZ2pqKpGRkfTs2fOM99LS0oiKiiIiIgIPDw9uuOEGVq9eDUBtbS333HMPTz755Dn37eXlRUJCAgAeHh4MGTLEfkbBZDJx8uRJAE6cOEFISEgjR6P9a03z3VCDBw8mPDz8jOVXXHEFvr6+AAwfPlxnls6iLc73hAkTMJlMmEwmhg0bZp/Xt99+m+uuu44ePXrYa5XTtab5/n//7/+xYMECXFxc7Mf6b4ZhsGnTJq6//vozavv+++8ZN24cAAkJCY3+c+QM2tp8w7k/3507d8ZkMgFQWlpq/1r+ozXN909OnjzJpk2bznrm+Hyf759btmwZN9544wW/f4f1HGdkZLBz504uu+wyjh07RnBwMABBQUEcO3aswftZvnz5Ob/Ro0eP0r17d/vrsLAwjh49CtT98/mkSZPsx72Q4uJiPvzwQxITEwF4+OGHefPNNwkLC2PChAk8//zzDa7ZGTl6vgHuv/9+YmNjufvuu6msrLzI7wReeeUVrr766ove3hm0tfmurq7mjTfe4KqrrgJg3759FBUVMXbsWIYOHcrrr7/e4JqdkaPn+8CBA7zzzjvExcVx9dVXk56efsb2BQUF+Pj44Obmdsb2AwcOZOXKlQD885//pKSkhIKCggbX7Wzawnz/3H9/vqFunvv06cM111zDP/7xjwbX7IwcPd8/WbVqFYmJiXh7e5+x/fk+3z85fPgwhw4dsv8ifD4OCcenTp1i6tSpPPvss2d8kz/9ltcQVVVVfPDBB0ybNq1Rx8/Ozua9997jjjvuaND6NTU13HjjjcybN4+IiAig7rePW265haysLD7++GNuvvlmbDZbo+pwFo6eb4DFixezd+9evv76awoLC3niiScavQ+AzZs388orr1z09s6gLc73b3/7W0aPHs2oUaOAus/8N998w5o1a1i3bh2PPfYY+/bta3QdzqA1zHdlZSUdOnRg+/btzJkzh1mzZjVq+6effprPPvuMwYMH89lnnxEaGoqrq2uj63AGbXG+//vzDTBlyhT27t3LqlWrePDBBxtdg7NoDfP9k4ae9T2X5cuXc/311zfos93i4bi6upqpU6cyY8YMrrvuOgC6detGTk4OADk5OQ3+J8xPPvmEIUOG0K1bN6CugfynpuuXXnqJ0NBQMjMz7etnZWURGhrKzp072b9/P1FRUYSHh1NWVkZUVBS1tbX27RcsWGDfLjk5GYvFwl133WVf9sorr/DLX/4SgMsvv5yKiorTLuCSOq1hvqHun4hMJhOenp785je/IS0tDYDx48czaNAgZs+efcHj79mzh9mzZ7N69Wr8/f0bPghOpC3O9yOPPEJeXh5//vOf7cvCwsIYP348nTp1wmw2M3r0aF2EeRatZb7DwsLsx58yZQp79uwBTp9vf39/iouLqampOWP7kJAQVq5cyc6dO1m0aBFAwy7acTJtab5/crbP98+NHj2agwcP6uf3WbSW+QbIz88nLS2Na665xr6soZ/vn5zvzPV/c2vQWpeIYRjceuut9O3bl9///vf25ZMmTWLp0qXMnz+fpUuXMnny5Abt779/i+jevftpV6XX1NSQnp7OoUOHCA0NZfny5bz99tv079+f3Nxc+3qdO3dm//79AGdc1f7AAw9w4sQJXn755dOW9+jRg9TUVG655RZ++OEHKioqCAgIaOhQOIXWMt9Q9yEODg7GMAxWrVrFgAEDAFi3bl2Djn3kyBGuu+463njjDaKjoxu0jbNpi/P98ssvs27dOlJTU+39iwCTJ0/m9ttvp6amhqqqKr766ivuvvvuRo9Je9aa5vvaa69l8+bN9OrVi88++8z+Gf3v+U5ISGDFihXccMMNp9WWn5+Pn58fLi4uLF68uNFnnp1BW5zvc32+9+/fT2RkJCaTiR07dlBZWakTHv+lNc03wIoVK5g4cSIdOnSwL2vo5xvq7qZRVFTE5Zdf3uABaDFbtmwxACMmJsYYOHCgMXDgQGPNmjVGfn6+MW7cOCMqKspITEw0CgoKDMMwjJycHCM0NNTo0qWL0bVrVyM0NNQ4ceKEYRiGcerUKcPPz88oLi4+7zHXrFljWCwWIyIiwli4cOFZ1znX3SoyMzMNwOjTp4+93r///e+GYdTdoeKKK64wYmNjjYEDBxrr1q272GFpt1rTfCckJBgDBgww+vfvb8yYMcMoKSk56/bPPfecERoaari6uhrBwcHGrbfeahiGYdx6662Gj4+P/fsYOnTopRiidqUtzrerq6sRERFhr/eRRx6xv/fkk08affv2Nfr372/85S9/aeLotD+tab6LioqMCRMmGAMGDDCGDx9u7Nq166zbHzhwwIiPjzciIyON66+/3qioqDAMwzDee+89IyoqyrBYLMatt95qXy7/0Rbn+1yf7yVLlhj9+vUzBg4caAwfPtzYsmXLpRiidqU1zbdhGMaYMWOMTz755Lzbn+vzbRiG8dBDDxn33Xdfg79/PT5aRERERKSenpAnIiIiIlJP4VhEREREpJ7CsYiIiIhIPYVjEREREZF6CsciIiIiIvUUjkVE2qiHH36Yp59+2tFliIi0KwrHIiIiIiL1FI5FRNqQRYsWER0dzciRI/nxxx8B+Otf/0q/fv2IjY3lhhtucHCFIiJtW4s+PlpERC7eN998w/Lly9m1axc1NTUMGTKEoUOHsmTJEg4dOoSnpyfFxcWOLlNEpE3TmWMRkTZiy5YtTJkyBS8vL7y9vZk0aRIAsbGxzJgxgzfffBM3N53zEBFpCoVjEZE2bs2aNfzud79jx44dxMfHU1NT4+iSRETaLIVjEZE2YvTo0axatYry8nJKSkr48MMPsdlsZGZmkpCQwBNPPMGJEyc4deqUo0sVEWmz9O9vIiJtxJAhQ5g+fToDBw4kMDCQ+Ph4TCYTv/rVrzhx4gSGYTBv3jx8fHwcXaqISJtlMgzDcHQRIiIiIiKtgdoqRERERETqKRyLiIiIiNRTOBYRERERqadwLCIiIiJST+FYRERERKSewrGIiIiISD2FYxERERGRegrHIiIiIiL1FI5FREREROopHIuIiIiI1FM4FhERERGp5+boApqD2WwmPDy82fZfXV2Nu7t7s+2/vdP4NY3Gr2k0fk2nMWwajV/TaPyapq2PX0ZGBvn5+c16jHYZjsPDw9m+fXuz7T87O5uQkJBm2397p/FrGo1f02j8mk5j2DQav6bR+DVNWx+/uLi4Zj+G2ipEREREROopHIuIiIiI1FM4FhERERGp1yLhODw8nJiYGAYNGmTvFSksLCQpKQmLxUJSUhJFRUUAvP/++/Tv359Ro0ZRUFAAwIEDB5g+fXpLlCoiIiIiTqzFzhxv3ryZXbt22S+UW7JkCYmJiaSnp5OYmMiSJUsAeP755/n666+ZO3cub7/9NgAPPPAACxcubKlSRURERMRJOaytYvXq1cycOROAmTNnsmrVqrqCXFyorKykrKwMd3d3tmzZQlBQEBaLxVGlioiIiIiTaJFbuZlMJq688kpMJhNz584lOTmZY8eOERwcDEBQUBDHjh0D4I9//CNWq5WQkBDefPNNpk2bxvLly1uizItm+sOH533feOYXLVSJiIiIiDRFi4TjrVu3EhoayvHjx0lKSqJPnz6nvW8ymTCZTAAkJSWRlJQEwOuvv86ECRPYt28fTz/9NL6+vjz33HN4eXmdcYyUlBRSUlIAyM3NJTs7u9m+n7y8vNNeB7uUnXf95qylLfrv8ZPG0fg1jcav6TSGTaPxaxqNX9No/C6sRcJxaGgoAIGBgUyZMoW0tDS6detGTk4OwcHB5OTkEBgYeNo2ZWVlvPbaa6xbt46JEyeycuVKVqxYwVtvvcWcOXPOOEZycjLJyclA3Q2im/sG1z/ff47tzLB+rnWljsakaTR+TaPxazqNYdNo/JpG49c0Gr/za/ae49LSUkpKSuxfr1+/ngEDBjBp0iSWLl0KwNKlS5k8efJp2z311FPMmzcPd3d3ysvLMZlMuLi4UFZ2/rO0IiIiIiIXq9nPHB87dowpU6YAUFNTw0033cRVV11FfHw8v/zlL3nllVfo2bMn7777rn2b7Oxs0tLSeOihhwC44447iI+Px8fHx37hnoiIiIjIpdbs4TgiIoLdu3efsdzf35/U1NSzbhMSEsKaNWvsr6dNm8a0adOarUYREREREdAT8kRERERE7BSORURERETqKRyLiIiIiNRTOBYRERERqadwLCIiIiJST+FYRERERKSewrGIiIiISD2FYxERERGRegrHIiIiIiL1FI5FREREROopHIuIiIiI1FM4FhERERGpp3AsIiIiIlJP4VhEREREpJ7CsYiIiIhIPYVjEREREZF6CsciIiIiIvUUjkVERERE6ikci4iIiIjUUzgWEREREamncCwiIiIiUk/hWERERESknsKxiIiIiEi9FgvHtbW1DB48mIkTJwJw6NAhLrvsMqKiopg+fTpVVVUAPP/88wwYMIAJEybYl23dupW77767pUoVERERESfVYuH4ueeeo2/fvvbX9913H3fffTf79+/H19eXV155BYC33nqLPXv2cMUVV7Bu3ToMw+Cxxx7jwQcfbKlSRURERMRJtUg4zsrKYs2aNcyePRsAwzDYtGkT119/PQAzZ85k1apV9veqq6spKyvD3d2dN998k6uvvho/P7+WKFVEREREnJhbSxzkrrvu4sknn6SkpASAgoICfHx8cHOrO3xYWBhHjx4F4Pbbb2f48OH079+fESNGMHnyZNatW9cSZYqIiIiIk2v2cPzRRx8RGBjI0KFD+fTTTy+4/s0338zNN98MwKOPPsq8efP45JNPeP311+nevTvPPPMMLi5nnvBOSUkhJSUFgNzcXLKzsy/p9/FzeXl5p70Odik77/rNWUtb9N/jJ42j8WsajV/TaQybRuPXNBq/ptH4XVizh+Nt27bxwQcf8PHHH1NRUcHJkye58847KS4upqamBjc3N7KysggNDT1tu+zsbNLS0liwYAFjxoxh06ZNLFy4kNTUVJKSks44TnJyMsnJyQDExcUREhLSrN/Xz/efY/Nq8LpSR2PSNBq/ptH4NZ3GsGk0fk2j8Wsajd/5NXvP8eLFi8nKyiIjI4Ply5czbtw43nrrLRISElixYgUAS5cuZfLkyadt9+CDD/Loo48CUF5ejslkwsXFhbKy85+lFRERERG5WA67z/ETTzzBn//8Z6KioigoKODWW2+1v7dz504AhgwZAsBNN91ETEwM27Zt46qrrnJIvSIiIiLS/rXIBXk/GTt2LGPHjgUgIiKCtLS0s643ePBg+63doO6CvrvuuqsFKhQRERERZ6Yn5ImIiIiI1FM4FhERERGpp3AsIiIiIlJP4VhEREREpJ7CsYiIiIhIPYVjEREREZF6CsciIiIiIvUaHY4PHz7Mxo0bgbon15WUlFzyokREREREHKFR4fjvf/87119/PXPnzgUgKyuLa6+9tjnqEhERERFpcY0Kxy+++CLbtm3D29sbAIvFwvHjx5ulMBERERGRltaocOzp6YmHh4f9dU1NDSaT6ZIXJSIiIiLiCI0Kx2PGjOHxxx+nvLycDRs2MG3aNH7xi180V20iIiIiIi2qUeF4yZIlBAQEEBMTw9/+9jcmTJjAwoULm6s2EREREZEW5daYlcvLy5k1axZz5swBoLa2lvLycry8vJqlOBERERGRltSoM8eJiYmUl5fbX5eXl2O1Wi95USIiIiIijtCocFxRUUHnzp3trzt37kxZWdklL0pERERExBEaFY47derEjh077K+/+eYbOnbseMmLEhERERFxhEb1HD/77LNMmzaNkJAQDMMgNzeXd955p7lqExERERFpUY0Kx/Hx8ezdu5cff/wRgN69e+Pu7t4shYmIiIiItLRGhWOAr7/+moyMDGpqauwtFr/+9a8veWEiIiIiIi2tUeH45ptv5sCBAwwaNAhXV1cATCaTwrGIiIiItAuNCsfbt2/n+++/1yOjRURERKRdatTdKgYMGEBubm5z1SIiIiIi4lCNCsf5+fn069eP8ePHM2nSJPt/51NRUcGwYcMYOHAg/fv356GHHgLg0KFDXHbZZURFRTF9+nSqqqoAeP755xkwYAATJkywL9u6dSt33333xXx/IiIiIiIN1qi2iocffrjRB/D09GTTpk107tyZ6upqRo4cydVXX82f//xn7r77bm644Qb+53/+h1deeYXbbruNt956iz179vD444+zbt06Jk6cyGOPPcayZcsafWwRERERkcZoVDgeM2ZMow9gMpnsT9Wrrq6muroak8nEpk2bePvttwGYOXMmDz/8MLfddhuGYVBdXU1ZWRnu7u68+eabXH311fj5+TX62CIiIiIijdGotoovv/yS+Ph4OnfujIeHB66urnh7e19wu9raWgYNGkRgYCBJSUlERkbi4+ODm1tdNg8LC+Po0aMA3H777QwfPpwjR44wYsQIXn31VX73u99dxLcmIiIiItI4jTpzfPvtt7N8+XKmTZvG9u3bef3119m3b98Ft3N1dWXXrl0UFxczZcoU9u7de851b775Zm6++WYAHn30UebNm8cnn3zC66+/Tvfu3XnmmWdwcTkz06ekpJCSkgJAbm4u2dnZjfnWGiUvL++018EuZeddvzlraYv+e/ykcTR+TaPxazqNYdNo/JpG49c0Gr8La/RDQKKioqitrcXV1ZXf/OY3DB48mMWLFzdoWx8fHxISEvjiiy8oLi6mpqYGNzc3srKyCA0NPW3d7Oxs0tLSWLBgAWPGjGHTpk0sXLiQ1NRUkpKSzth3cnIyycnJAMTFxRESEtLYb61Rfr7/HJtXg9eVOhqTptH4NY3Gr+k0hk2j8WsajV/TaPzOr1FtFV5eXlRVVTFo0CDuvfde/vKXv2Cz2c67TV5eHsXFxQCUl5ezYcMG+vbtS0JCAitWrABg6dKlTJ48+bTtHnzwQR599FH7diaTCRcXF8rKzn+WVkRERETkYjUqHL/xxhvYbDZeeOEFOnXqRGZmJu+///55t8nJySEhIYHY2Fji4+NJSkpi4sSJPPHEE/z5z38mKiqKgoICbr31Vvs2O3fuBGDIkCEA3HTTTcTExLBt2zauuuqqxn6PIiIiIiIN0qi2im+++YZrrrkGb29v+/2KLyQ2NtYedn8uIiKCtLS0s24zePBgXnnlFfvru+66i7vuuqsxpYqIiIiINFqjzhx/+OGHREdHc/PNN/PRRx9RU1PTXHWJiIiIiLS4RoXjV199lf379zNt2jSWLVtGZGQks2fPbq7aRERERERaVKPvVuHu7s7VV1+NyWSivLycVatW8fLLLzdHbSIiIiIiLapRZ44/+eQTbrnlFiwWC++//z6zZ88mNze3uWoTEREREWlRjTpz/PrrrzN9+nT+9re/4enp2Vw1iYiIiIg4RKPOHC9btozBgwezZcsWoO7+wyUlJc1SmIiIiIhIS2tUOP773//O9ddfz9y5cwHIysri2muvbY66RERERERaXKPC8Ysvvsi2bdvw9vYGwGKxcPz48WYpTERERESkpTUqHHt6euLh4WF/XVNTg8lkuuRFiYiIiIg4QqPC8ZgxY3j88ccpLy9nw4YNTJs2jV/84hfNVZuIiIiISItqVDhesmQJAQEBxMTE8Le//Y0JEyawcOHC5qpNRERERKRFNepWbi4uLsyZM4c5c+Y0Vz0iIiIiIg7ToHAcExNz3t7iPXv2XLKCREREREQcpUHh+KOPPmruOkREREREHK5B4bhnz572rw8fPkx6ejpWq5Xy8nJqamqarTgRERERkZakh4CIiIiIiNTTQ0BEREREROrpISAiIiIiIvX0EBARERERkXqNCsdPPPGEHgIiIiIiIu1Wgx8CUltbS//+/dm7d68eAiIiIiIi7VKDzxy7urrSu3dvjhw50pz1iIiIiIg4TKMeH11UVET//v0ZNmwYnTp1si//4IMPLnlhIiIiIiItrVHh+LHHHmv0ATIzM/n1r3/NsWPHMJlMJCcnc+edd1JYWMj06dPJyMggPDycd999F19fX95//30WLFiAn58fq1atwt/fnwMHDvCnP/2Jd955p9HHFxERERFpqEaF4zFjxjT+AG5uPPPMMwwZMoSSkhKGDh1KUlISr732GomJicyfP58lS5awZMkSnnjiCZ5//nm+/vprVq5cydtvv80dd9zBAw88oAv/RERERKTZNepuFRcjODiYIUOGANClSxf69u3L0aNHWb16NTNnzgRg5syZrFq1qq4gFxcqKyspKyvD3d2dLVu2EBQUhMViae5SRURERMTJNerMcVNlZGSwc+dOLrvsMo4dO0ZwcDAAQUFBHDt2DIA//vGPWK1WQkJCePPNN5k2bRrLly9vyTJFRERExEk1ORxv27aNESNGXHC9U6dOMXXqVJ599ln746d/YjKZ7E/aS0pKIikpCYDXX3+dCRMmsG/fPp5++ml8fX157rnn8PLyOmP/KSkppKSkAJCbm0t2dnZTv7VzysvLO+11sEvZeddvzlraov8eP2kcjV/TaPyaTmPYNBq/ptH4NY3G78IaFI5ra2t59913OXr0KFdddRUDBgzgo48+sj8tb+fOnefdvrq6mqlTpzJjxgyuu+46ALp160ZOTg7BwcHk5OQQGBh42jZlZWW89tprrFu3jokTJ7Jy5UpWrFjBW2+9ddb7LCcnJ5OcnAxAXFwcISEhDRqAi/Xz/efYzgzr51pX6mhMmkbj1zQav6bTGDaNxq9pNH5No/E7vwaF41tvvZXMzEyGDRvGvHnzCAkJYfv27SxZsoRrr732vNsahsGtt95K3759+f3vf29fPmnSJJYuXcr8+fNZunQpkydPPm27p556innz5uHu7k55eTkmkwkXFxfKys5/llZERERE5GI1KBxv376dPXv24OLiQkVFBUFBQRw4cAB/f/8Lbrtt2zbeeOMNYmJiGDRoEACPP/448+fP55e//CWvvPIKPXv25N1337Vvk52dTVpaGg899BAAd9xxB/Hx8fj4+Ngv3BMRERERudQaFI49PDxwcam7sUWHDh2IiIhoUDAGGDlyJIZhnPW91NTUsy4PCQlhzZo19tfTpk1j2rRpDTqeiIiIiMjFalA43rt3L7GxsUBdm8SBAweIjY3FMAxMJhN79uxp1iJFRERERFpCg8LxDz/80Nx1iIiIiIg4XIPCcc+ePc+6fOvWrSxbtowXX3zxkhYlIiIiIuIIjb7P8c6dO3n77bd577336NWrl/3WbCIiIiIibV2DwvG+fftYtmwZy5Ytw2w2M336dAzDYPPmzc1dn4iIiIhIi2lQOO7Tpw+jRo3io48+IioqCoC//OUvzVqYiIiIiEhLc2nISitXriQ4OJiEhATmzJlDamrqOW/PJiIiIiLSVjUoHF977bUsX76cvXv3kpCQwLPPPsvx48e57bbbWL9+fXPXKCIiIiLSIhoUjn/SqVMnbrrpJj788EOysrIYPHgwTzzxRHPVJiIiIiLSohoVjn/O19eX5OTkcz7lTkRERESkrbnocCwiIiIi0t4oHIuIiIiI1FM4FhERERGpp3AsIiIiIlKv0Y+PlsYz/eHD875vPPOLFqpERERERM5HZ45FREREROopHIuIiIiI1FM4FhERERGpp3AsIiIiIlJP4VhEREREpJ7CsYiIiIhIPYVjEREREZF6CsciIiIiIvVaJBzPmjWLwMBABgwYYF9WWFhIUlISFouFpKQkioqKAHj//ffp378/o0aNoqCgAIADBw4wffr0lihVRERERJxYi4TjW265hbVr1562bMmSJSQmJpKenk5iYiJLliwB4Pnnn+frr79m7ty5vP322wA88MADLFy4sCVKFREREREn1iLhePTo0fj5+Z22bPXq1cycOROAmTNnsmrVqrqCXFyorKykrKwMd3d3tmzZQlBQEBaLpSVKFREREREn5uaoAx87dozg4GAAgoKCOHbsGAB//OMfsVqthISE8OabbzJt2jSWL1/uqDJFRERExIk4LBz/nMlkwmQyAZCUlERSUhIAr7/+OhMmTGDfvn08/fTT+Pr68txzz+Hl5XXGPlJSUkhJSQEgNzeX7OzsZqs3Ly/vtNfBLmVN2l9z1toa/ff4SeNo/JpG49d0GsOm0fg1jcavaTR+F+awcNytWzdycnIIDg4mJyeHwMDA094vKyvjtddeY926dUycOJGVK1eyYsUK3nrrLebMmXPG/pKTk0lOTgYgLi6OkJCQZq3/5/vPsZ0Z1i92X87CGb/nS0nj1zQav6bTGDaNxq9pNH5No/E7P4fdym3SpEksXboUgKVLlzJ58uTT3n/qqaeYN28e7u7ulJeXYzKZcHFxoaysaWdpRURERETOpUXOHN944418+umn5OfnExYWxiOPPML8+fP55S9/ySuvvELPnj1599137etnZ2eTlpbGQw89BMAdd9xBfHw8Pj4+9gv3REREREQutRYJx8uWLTvr8tTU1LMuDwkJYc2aNfbX06ZNY9q0ac1Sm4iIiIjIT/SEPBERERGRegrHIiIiIiL1FI5FREREROopHIuIiIiI1FM4FhERERGpp3AsIiIiIlJP4VhEREREpJ7CsYiIiIhIPYVjEREREZF6CsciIiIiIvUUjkVERERE6ikci4iIiIjUUzgWEREREamncCwiIiIiUk/hWERERESknsKxiIiIiEg9hWMRERERkXpuji5AxNmZ/vDhed83nvlFC1UiIiIiOnMsIiIiIlJPZ46lzWvuM686sysiIuI8FI7F6V0o/Dp6//+9fbBLGTk2L/trhXMREZFLR+FY2r3WHn6bW1PPfOvMuYiIOBOFY2n1Wnv4lPNTuBYRabuc8e9wh4fjtWvXcuedd1JbW8vs2bOZP38+M2bM4Ntvv2XixIk8/vjjACxcuJABAwZw7bXXOrbgZuCMf/Dk0tEvDyIiIpeOQ8NxbW0tv/vd79iwYQNhYWHEx8czYcIEOnbsyJ49e0hKSuLEiROUlZXx1Vdf8cADDziyXJF2ydHhWr8ciohIa+LQcJyWlkZUVBQREREA3HDDDaxZs4by8nJsNhvV1dW4urqyYMECHnnkEUeW2q41dzhSuGnfHN3TrbuRiIhcPEefIGmNHBqOjx49Svfu3e2vw8LC+OqrrwgICGDIkCHcfPPN7N+/H5vNxpAhQxxYadvm6D/4F7rbgkhTODrcNvXzpfAtIs1JP4Mbz2QYhuGog69YsYK1a9fy8ssvA/DGG2/w1Vdf8cILL9jX+cUvfsHf/vY3Xn31VXbv3k1SUhJz5sw5Y18pKSmkpKQAsHfvXvr06dNsdefl5REQENBs+2/vNH5No/FrGo1f02kMm0bj1zQav6Zp6+OXkZFBfn5+sx7DoWeOQ0NDyczMtL/OysoiNDTU/nr16tUMHTqUU6dOceDAAd59913Gjx/PjBkz8PI6/bee5ORkkpOTW6TuuLg4tm/f3iLHao80fk2j8WsajV/TaQybRuPXNBq/ptH4XZhDHx8dHx9Peno6hw4doqqqiuXLlzNp0iQAqqurefbZZ7n33nspLy/HZDIBdRfxVVVVObJsEREREWmnHHrm2M3NjRdeeIHx48dTW1vLrFmz6N+/PwAvvvgiM2fOxMvLi9jYWMrKyoiJiWHChAn4+Pg4smwRERERaaccfp/jCRMmMGHChDOW33XXXfavTSYTy5Yta8Gqzq+l2jfaK41f02j8mkbj13Qaw6bR+DWNxq9pNH4X5tAL8kREREREWhOH9hyLiIiIiLQmCseNtHbtWnr37k1UVBRLlixxdDmt3qxZswgMDGTAgAH2ZYWFhSQlJWGxWEhKSqKoqMiBFbZumZmZJCQk0K9fP/r3789zzz0HaAwbqqKigmHDhjFw4ED69+/PQw89BMChQ4e47LLLiIqKYvr06brI9wJqa2sZPHgwEydOBDR+jREeHk5MTAyDBg0iLi4O0Oe3MYqLi7n++uvp06cPffv25YsvvtD4NdCPP/7IoEGD7P95e3vz7LPPavwaQOG4EX563PUnn3zC999/z7Jly/j+++8dXVardsstt7B27drTli1ZsoTExETS09NJTEzULxnn4ebmxjPPPMP333/Pl19+yYsvvsj333+vMWwgT09PNm3axO7du9m1axdr167lyy+/5L777uPuu+9m//79+Pr68sorrzi61Fbtueeeo2/fvvbXGr/G2bx5M7t27bLfPkuf34a78847ueqqq9i7dy+7d++mb9++Gr8G6t27N7t27WLXrl188803eHl5MWXKFI1fQxjSYJ9//rlx5ZVX2l8//vjjxuOPP+7AitqGQ4cOGf3797e/jo6ONrKzsw3DMIzs7GwjOjraUaW1OZMmTTLWr1+vMbwIpaWlxuDBg40vv/zS8Pf3N6qrqw3DOPNzLafLzMw0xo0bZ6SmphrXXHONYbPZNH6N0LNnTyMvL++0Zfr8NkxxcbERHh5u2Gy205Zr/Bpv3bp1xhVXXGEYhsavIXTmuBHO9rjro0ePOrCitunYsWMEBwcDEBQUxLFjxxxcUduQkZHBzp07ueyyyzSGjVBbW8ugQYMIDAwkKSmJyMhIfHx8cHOru1mPPsfnd9ddd/Hkk0/i4lL346KgoEDj1wgmk4krr7ySoUOH2p/iqs9vwxw6dIiAgAB+85vfMHjwYGbPnk1paanG7yIsX76cG2+8EdCfv4ZQOBaHMplM9ge8yLmdOnWKqVOn8uyzz+Lt7X3aexrD83N1dWXXrl1kZWWRlpbG3r17HV1Sm/HRRx8RGBjI0KFDHV1Km7V161Z27NjBJ598wosvvsi//vWv097X5/fcampq2LFjB7fddhs7d+6kU6dOZ7QAaPwurKqqig8++IBp06ad8Z7G7+wUjhvhQo+7lobp1q0bOTk5AOTk5BAYGOjgilq36upqpk6dyowZM7juuusAjeHF8PHxISEhgS+++ILi4mJqamoAfY7PZ9u2bXzwwQeEh4dzww03sGnTJu68806NXyP8NDaBgYFMmTKFtLQ0fX4bKCwsjLCwMC677DIArr/+enbs2KHxa6RPPvmEIUOG0K1bN0A/PxpC4bgRzve4a2m4SZMmsXTpUgCWLl3K5MmTHVxR62UYBrfeeit9+/bl97//vX25xrBh8vLyKC4uBqC8vJwNGzbQt29fEhISWLFiBaDxO5/FixeTlZVFRkYGy5cvZ9y4cbz11lsavwYqLS2lpKTE/vX69esZMGCAPr8NFBQURPfu3fnxxx8BSE1NpV+/fhq/Rlq2bJm9pQL086NBHN303NasWbPGsFgsRkREhLFw4UJHl9Pq3XDDDUZQUJDh5uZmhIaGGi+//LKRn59vjBs3zoiKijISExONgoICR5fZam3ZssUAjJiYGGPgwIHGwIEDjTVr1mgMG2j37t3GoEGDjJiYGKN///7GI488YhiGYRw4cMCIj483IiMjjeuvv96oqKhwcKWt3+bNm41rrrnGMAyNX0MdOHDAiI2NNWJjY41+/frZf2bo89twO3fuNIYOHWrExMQYkydPNgoLCzV+jXDq1CnDz8/PKC4uti/T+F2YnpAnIiIiIlJPbRUiIiIiIvUUjkVERERE6ikci4iIiIjUUzgWEREREamncCwiIiIiUk/hWESkkVatWoXJZDrtaXsZGRl07NiRQYMG0a9fP379619TXV19xrYZGRkMGDCgJctttNdee43bb7/d0WWIiDiEwrGISCMtW7aMkSNHsmzZstOWR0ZGsmvXLr799luysrJ49913HVShY9XW1jq6BBGRi6ZwLCLSCKdOnWLr1q288sorLF++/KzruLq6MmzYMI4ePXrefWVkZDBq1CiGDBnCkCFD+PzzzwGw2Wz89re/pU+fPiQlJTFhwgT7E+l+buzYsdx3330MGzaM6OhotmzZApx55nfixIl8+umnAHTu3Jl77rmH/v37Y7VaSUtLY+zYsURERPDBBx/Yt8nMzGTs2LFYLBYeeeQR+/I333yTYcOGMWjQIObOnWsPwp07d+YPf/gDAwcO5IsvvmjASIqItE4KxyIijbB69WquuuoqoqOj8ff355tvvjljnYqKCr766iuuuuqq8+4rMDCQDRs2sGPHDt555x3mzZsHwMqVK8nIyOD777/njTfeOG/YrKmpIS0tjWefffa0EHsupaWljBs3ju+++44uXbrwwAMPsGHDBv75z3+yYMEC+3ppaWm8//777Nmzh/fee4/t27fzww8/8M4777Bt2zZ27dqFq6srb731ln2/l112Gbt372bkyJEXrENEpLVyc3QBIiJtybJly7jzzjsBuOGGG1i2bBlDhw4F4MCBAwwaNIhDhw5xzTXXEBsbe959VVdXc/vtt9uD5r59+wDYunUr06ZNw8XFhaCgIBISEs65j+uuuw6AoUOHkpGRccH6PTw87KE9JiYGT09P3N3diYmJOW37pKQk/P397cfYunUrbm5ufPPNN8THxwNQXl5OYGAgUHe2fOrUqRc8vohIa6dwLCLSQIWFhWzatIlvv/0Wk8lEbW0tJpOJp556CvhPz3F+fj4jRozggw8+YNKkSefc31/+8he6devG7t27sdlsdOjQodE1eXp6AnXhtKamBgA3NzdsNpt9nYqKCvvX7u7umEwmAFxcXOzbu7i42LcH7Ov8/LVhGMycOZPFixefUUeHDh1wdXVtdP0iIq2N2ipERBpoxYoV3HzzzRw+fJiMjAwyMzPp1auXvdf3J2azmSVLlpw1RP7ciRMnCA4OxsXFhTfeeMPevztixAjef/99bDYbx44ds/cLN1R4eDi7du3CZrORmZlJWlpao7YH2LBhA4WFhZSXl7Nq1SpGjBhBYmIiK1as4Pjx40DdLwuHDx9u9L5FRFozhWMRkQZatmwZU6ZMOW3Z1KlTz7hrBcC1115LWVnZGcH5537729+ydOlSBg4cyN69e+nUqZN9n2FhYfTr149f/epXDBkyhK5duza4zhEjRtCrVy/69evHvHnzGDJkSIO3/cmwYcOYOnUqsbGxTJ06lbi4OPr168fChQu58soriY2NJSkpiZycnEbvW0SkNTMZhmE4uggRETndqVOn6Ny5MwUFBQwbNoxt27YRFBTk6LJERNo99RyLiLRCEydOpLi4mKqqKh588EEFYxGRFqIzxyIiIiIi9dRzLCIiIiJST+FYRERERKSewrGIiIiISD2FYxERERGRegrHIiIiIiL1FI5FREREROr9f1sBmGqa3OH2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(1)\n",
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(36)\n",
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further reducing the non-zero AR-coefficents\n",
    "By setting the ar_sparsity lower, we can further reduce the number of non-zero weights.\n",
    "Here we set it to 10%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                  \r"
     ]
    }
   ],
   "source": [
    "m = NeuralProphet(\n",
    "    n_lags=6*12,\n",
    "    n_forecasts=3*12,\n",
    "    n_changepoints=0,\n",
    "    daily_seasonality=False,\n",
    "    weekly_seasonality=False,\n",
    "    learning_rate=0.01,\n",
    "    ar_sparsity=0.5,\n",
    ")\n",
    "metrics = m.fit(df, freq='5min')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(1)\n",
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(36)\n",
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extreme sparsity\n",
    "The lower we set `ar_sparsity`, the fewer non-zero weiths are fitted by the model. Here we set it to 1%, which should lead to a single non-zero lag.\n",
    "\n",
    "Note: Extreme values can lead to training instability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                  \r"
     ]
    }
   ],
   "source": [
    "m = NeuralProphet(\n",
    "    n_lags=6*12,\n",
    "    n_forecasts=3*12,\n",
    "    n_changepoints=0,\n",
    "    daily_seasonality=False,\n",
    "    weekly_seasonality=False,\n",
    "    learning_rate=0.01,\n",
    "    ar_sparsity=0.1,\n",
    ")\n",
    "metrics = m.fit(df, freq='5min')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(1)\n",
    "fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = m.highlight_nth_step_ahead_of_each_forecast(36)\n",
    "fig_param = m.plot_parameters()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "np-dev",
   "language": "python",
   "name": "np-dev"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
